53130528 has 144 divisors (see below), whose sum is σ = 170456832. Its totient is φ = 15552000.

The previous prime is 53130521. The next prime is 53130533. The reversal of 53130528 is 82503135.

53130528 is a `hidden beast` number, since 5 + 3 + 130 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53130521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97938 + ... + 98478.

It is an arithmetic number, because the mean of its divisors is an integer number (1183728).

Almost surely, 2^53130528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53130528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85228416).

53130528 is an abundant number, since it is smaller than the sum of its proper divisors (117326304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53130528 is a wasteful number, since it uses less digits than its factorization.

53130528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 53130528 is about 7289.0690763636. The cubic root of 53130528 is about 375.9366876950.

The spelling of 53130528 in words is "fifty-three million, one hundred thirty thousand, five hundred twenty-eight".